Volume 2, Issue 1 (6-2021)                   MACO 2021, 2(1): 29-38 | Back to browse issues page

‎ 10.52547/maco.2.1.3
‎ 20.1001.1.27170624.2021.2.1.3.8

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Sohrabi M. Characterization of Aluthge Transform of Composition Operators. MACO 2021; 2 (1) :29-38
URL: http://maco.lu.ac.ir/article-1-68-en.html
Characterization of Aluthge Transform of Composition Operators
Morteza Sohrabi *
Abstract:   (1737 Views)
Let $widetilde{{C}_{varphi}}$ be the Aluthge transform of composition operator on $L^{2}(Sigma)$. The main result of this paper is characterizations of Aluthge transform of composition operators in some operator classes that are weaker than hyponormal, such as hyponormal, quasihyponormal, paranormal, $*$-paranormal on $L^{2}(Sigma)$. Moreover, to explain the results, we provide several useful related examples to show that $widetilde{{C}_{varphi}}$ lie between these classes.
Keywords: Aluthge transform, polar decomposition, conditional expectation, hyponormal, paranormal
Full-Text [PDF 122 kb]   (1251 Downloads)    
Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2021/06/12
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